Symplectic dynamics and the 3-sphere
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2018
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| Subjects: | |
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| _version_ | 1866910014651760640 |
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| author | Kegel, Marc Schneider, Jay Zehmisch, Kai |
| author_facet | Kegel, Marc Schneider, Jay Zehmisch, Kai |
| contents | Given a knot in a closed connected orientable 3-manifold we prove that if the exterior of the knot admits an aperiodic contact form that is Euclidean near the boundary, then the 3-manifold is diffeomorphic to the 3-sphere and the knot is the unknot. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1806_08603 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Symplectic dynamics and the 3-sphere Kegel, Marc Schneider, Jay Zehmisch, Kai Symplectic Geometry Geometric Topology 53D35, 37C27, 37J55, 57M25 Given a knot in a closed connected orientable 3-manifold we prove that if the exterior of the knot admits an aperiodic contact form that is Euclidean near the boundary, then the 3-manifold is diffeomorphic to the 3-sphere and the knot is the unknot. |
| title | Symplectic dynamics and the 3-sphere |
| topic | Symplectic Geometry Geometric Topology 53D35, 37C27, 37J55, 57M25 |
| url | https://arxiv.org/abs/1806.08603 |